ELLIPTIC SYSTEMS WITH NONLINEAR DIFFUSION AND A CONVECTION TERM

被引：1
|
作者：
Boccardo, Lucio [1 ]
Orsina, Luigi [2 ]
机构：
[1] Sapienza Univ Roma, Dipartimento Matemat, Ist Lombardo, Rome, Italy
[2] Sapienza Univ Roma, Dipartimento Matemat, Rome, Italy
来源：
DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS | 2022年
关键词：
Elliptic systems; diffusion equations; convection equations; nonlinear equations; entropy solutions; EQUATIONS;
D O I：
10.3934/dcds.2022056
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper we prove existence (and summability properties) of solutions for the following elliptic system {-div(A(x)del u + u(lambda) = -div(u(lambda) M(x)del psi) + f(x), in Omega, -div(M(x)del psi) = u(rho), in Omega, u = 0 = psi on partial derivative Omega, under some assumptions on lambda > 0, rho > 0 and f(x) in L-m(Omega), m >= 1.
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页码：1052 / 1069
页数：18
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